What is the solution for (dy)/(dx)=(1+y^2)tan(x) ?

The solution for (dy)/(dx)=(1+y^2)tan(x) is y=tan(-ln(cos(x))+c_{1})

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(dy)/(dx)=(1+y^2)tan(x)

\frac{d y}{d x} = (1 + y^{2}) tan (x)

y = tan (- ln (cos (x)) + c_{1})

Solution steps

\frac{d y}{d x} = (1 + y^{2}) tan (x)

Solve separable ODE:

y = tan (- ln (cos (x)) + c_{1})

y = tan (- ln (cos (x)) + c_{1})

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What is the solution for (dy)/(dx)=(1+y^2)tan(x) ?
The solution for (dy)/(dx)=(1+y^2)tan(x) is y=tan(-ln(cos(x))+c_{1})